Scholarlink

<p>In recent years, arithmetic properties for the coefficients of mock theta functions have attracted the attention of many mathematicians. Recently, some congruences for the coefficients of mock theta functions <i>B</i>(<i>q</i>) and <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13398_2025_1773_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="31" /> </InlineMediaObject> <EquationSource Format="TEX">\(\xi (q)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ξ</mi> <mo stretchy="false">(</mo> <mi>q</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> were proved by Chern and Wang, Mao, Silva and Sellers. Motivated by their works, we prove several new congruences modulo 5, 7 and powers of 2 for the coefficients of <i>B</i>(<i>q</i>) in this paper.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Congruences for the second order mock theta function B(q)

  • 期刊论文

  • 发表日期：

    2025年8月7日

查看全文
  • Olivia X. M. Yao

摘要

In recent years, arithmetic properties for the coefficients of mock theta functions have attracted the attention of many mathematicians. Recently, some congruences for the coefficients of mock theta functions B(q) and \(\xi (q)\) ξ ( q ) were proved by Chern and Wang, Mao, Silva and Sellers. Motivated by their works, we prove several new congruences modulo 5, 7 and powers of 2 for the coefficients of B(q) in this paper.